in the first problem, the student is trying to find the solution of the two equations so the student should use both equations what the student did was only use the 2nd equation twice (if you use the same equation there are infinite solutions) when he/she should have used both equations
for the 2nd problem trashaway=0.25x+25 where x=number of pounds garbagenomore=45 solve where they intersect or where they are equal 45=0.25x+25 20=0.25x 80=x 80lb